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3430244020 = 22572171031999
BaseRepresentation
bin1100110001110101…
…0101111010110100
322212001121110011211
43030131111322310
524011120302040
61324214011204
7151001410300
oct31435257264
98761543154
103430244020
111500313115
127b8946b04
13428884bb8
14247800d00
1515122d8ea
hexcc755eb4

3430244020 has 144 divisors (see below), whose sum is σ = 8963136000. Its totient is φ = 1095607296.

The previous prime is 3430244009. The next prime is 3430244029. The reversal of 3430244020 is 204420343.

It is a junction number, because it is equal to n+sod(n) for n = 3430243982 and 3430244000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430244029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714981 + ... + 1716979.

It is an arithmetic number, because the mean of its divisors is an integer number (62244000).

Almost surely, 23430244020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

3430244020 is an abundant number, since it is smaller than the sum of its proper divisors (5532891980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3430244020 is a wasteful number, since it uses less digits than its factorization.

3430244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3430244020 is about 58568.2851038000. The cubic root of 3430244020 is about 1508.1400457901.

Adding to 3430244020 its reverse (204420343), we get a palindrome (3634664363).

The spelling of 3430244020 in words is "three billion, four hundred thirty million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 103 119 140 170 196 206 238 245 340 412 476 490 515 595 721 833 980 1030 1190 1442 1666 1751 1999 2060 2380 2884 3332 3502 3605 3998 4165 5047 7004 7210 7996 8330 8755 9995 10094 12257 13993 14420 16660 17510 19990 20188 24514 25235 27986 33983 35020 39980 49028 50470 55972 61285 67966 69965 85799 97951 100940 122570 135932 139930 169915 171598 195902 205897 237881 245140 279860 339830 343196 391804 411794 428995 475762 489755 679660 823588 857990 951524 979510 1029485 1189405 1441279 1665167 1715980 1959020 2058970 2378810 2882558 3330334 3500249 4117940 4757620 5765116 6660668 7000498 7206395 8325835 10088953 14000996 14412790 16651670 17501245 20177906 24501743 28825580 33303340 35002490 40355812 49003486 50444765 70004980 98006972 100889530 122508715 171512201 201779060 245017430 343024402 490034860 686048804 857561005 1715122010 3430244020